US5396414A - Adaptive noise cancellation - Google Patents
Adaptive noise cancellation Download PDFInfo
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- US5396414A US5396414A US07/951,501 US95150192A US5396414A US 5396414 A US5396414 A US 5396414A US 95150192 A US95150192 A US 95150192A US 5396414 A US5396414 A US 5396414A
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- G05B—CONTROL OR REGULATING SYSTEMS IN GENERAL; FUNCTIONAL ELEMENTS OF SUCH SYSTEMS; MONITORING OR TESTING ARRANGEMENTS FOR SUCH SYSTEMS OR ELEMENTS
- G05B13/00—Adaptive control systems, i.e. systems automatically adjusting themselves to have a performance which is optimum according to some preassigned criterion
- G05B13/02—Adaptive control systems, i.e. systems automatically adjusting themselves to have a performance which is optimum according to some preassigned criterion electric
- G05B13/0205—Adaptive control systems, i.e. systems automatically adjusting themselves to have a performance which is optimum according to some preassigned criterion electric not using a model or a simulator of the controlled system
- G05B13/021—Adaptive control systems, i.e. systems automatically adjusting themselves to have a performance which is optimum according to some preassigned criterion electric not using a model or a simulator of the controlled system in which a variable is automatically adjusted to optimise the performance
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- This invention relates generally to closed loop control systems and, in particular, to methods and apparatus for extending the disturbance and noise rejection bandwidths of a closed loop control system, for decreasing the noise floor of the loop, and for adaptively compensating a control loop so that it behaves as a unity response control system.
- a unity response control system is a system whose closed loop response has unity gain at frequencies below the closed loop bandwidth of the loop.
- the closed loop bandwidth is defined as the frequency at which the loop gain first drops to -3 db.
- Prior adaptive control concepts such as that described in "Nonlinear Automatic Control” by John E. Gibson, MacGraw Hill Book Company (1963) are limited by external, forward path or feedback disturbances that degrade plant identification or model reference calculations.
- prior model reference adaptive control approaches the adaptive controller converges to a best fit of the plant dynamics and the disturbance, or alternatively, it converges to a best fit of their inverses. This often results in a desired behavior not being obtained, or the system exhibiting unstable behavior.
- control loop bandwidth extension is limited by a requirement to tailor both a phase and a gain of a control compensation device and the fact that conventional compensation filters do not allow independent adjustment of their phase and gain characteristics.
- an adaptive filter can exhibit approximately independent phase and gain characteristics.
- an adaptive filter can be used to compensate a closed loop so as to achieve a bandwidth unachievable by conventional means.
- a conventional notch filter cannot be used, while Adaptive Noise Cancellation (ANC) is well suited for compensating the system.
- ANC Adaptive Noise Cancellation
- control loop noise floor reduction by conventional filtering techniques is limited by the phase restrictions inherent in closed loop systems. Such- noise is particularly troublesome when the noise spectrum lies within the bandwidth of the loop.
- Conventional ANC practice for open loop applications requires a measure of the noise to serve as a reference. However, such a measure is usually unavailable when dealing with a noise floor problem in a closed loop system, since the noise is generated within the components of the loop and is not independently measurable.
- FIG. 1a shows a conventional control system of the prior art having measurable forward and feedback path disturbances, d and n, respectively.
- FIG. 1b is a graph illustrating the asymptotic disturbance rejection characteristics of the conventional control loop of FIG. 1a.
- the control system is a TYPE 1, first order plant.
- the disturbance (r/d) or error rejection (e/c) and closed loop bandwidths are shown as being identical.
- the forward path disturbance (d) is attenuated at frequencies below the error rejection or closed loop bandwidth (BW) while the feedback path disturbance (n) is attenuated at frequencies above the error rejection BW.
- the open loop (OL) and closed loop (CL) transfer functions (TF) are as shown.
- loop noise floor which, for the purposes of this invention, is considered to be the quiescent state loop noise which is essentially flat and extends across the entire spectrum.
- An ideal control loop is considered to be one having a unity gain transfer function between an external input and the loop output.
- Narayan et al. employ comb filters to separate, or orthogonalize, inputs to an adaptive filter weight calculation to improve adaptive filter performance for open loop applications.
- Warnaka et al. disclose an active acoustic attenuator that operates with a modified version of the LMS algorithm. Closed loop applications are not disclosed and, in addition, Warnaka et al. disclose a requirement that a disturbance include DC and low frequency components, and that the LMS algorithm be modified to reflect the acoustic delays inherent to the system.
- a further object of the invention is to provide noise floor suppression that does not require a direct measurement of the disturbance, that requires but one adaptive filter, and that is suitable for use with open or closed loop systems having time delays or other dynamics.
- a further object of the invention is to provide an adaptive compensation filter in parallel or series with a control loop to provide a unity response control system that is insensitive to measurable, and in some cases unmeasurable, disturbances and noises, and which furthermore has an improved control performance.
- a further aspect of the invention relates to a reduction of an intrinsic noise floor associated with control systems, including open loop and closed loop control systems.
- the invention teaches the selection of a proper signal from within a closed loop and the introduction of two Adaptive Noise Cancellers (ANC) in such a manner that the noise floor of the loop is lowered. This teaching advantageously does not require an independent noise measure that is normally associated with ANC techniques.
- This invention also teaches an adaptive compensator that places an adaptive filter in parallel with a controller to provide a unity response control system that is insensitive to measurable disturbances and which furthermore has an improved control performance relative to a conventional control loop.
- the teaching of the invention thus provides a control system that does not respond to measurable disturbances, that exhibits a reduced intrinsic noise floor of a control loop, and that functions as an ideal unity response control system.
- the measurable and unmeasurable disturbances may be in either the forward or feedback paths of the control loop.
- a compensator that enables an adaptive filter to be placed within a closed loop control system so as to reduce the effects of both measurable and unmeasurable disturbances on the output of the control loop.
- the disturbances may have spectra that lie within or without the bandwidth of the control loop.
- the effectiveness of the reduction is dependent upon the capabilities of the loop actuator and/or the control electronics. The reduction is not limited only to the bandwidth of the control loop, as in conventional disturbance rejection, and is equally effective against feedback path disturbances which are unreduced in conventional approaches.
- control loop dynamics may be specified to match ideal desired dynamics.
- the control loop may be made insensitive to any measurable disturbance or noise.
- the control loop can reject forward path disturbances up to the bandwidth-amplitude capability (i.e. power) of a system actuator, instead of to a closed loop bandwidth of the system.
- the control loop may also reject feedback path disturbances up to the bandwidth-amplitude capability of the forward path electronics, in that these disturbances are removed (cancelled) electronically, and not physically as in the forward path case.
- FIG. 1a shows a conventional control system of the prior art having measurable forward and feedback path disturbances
- FIG. 1b is a graph illustrating the asymptotic disturbance rejection characteristics of the conventional control loop of FIG. 1a;
- FIG. 2a is a block diagram showing a control loop using ANC configured to have forward path measurable disturbance (d) rejection;
- FIG. 2b is a graph showing the response of the control loop of FIG. 2a;
- FIG. 3a is a block diagram showing a control loop configured to have feedback path measurable disturbance rejection
- FIG. 3b is a graph showing the response of the control loop of FIG. 3a;
- FIG. 4 is a block diagram illustrating ANC employing a loop command signal with an unmeasurable forward path disturbance
- FIG. 5 is a block diagram illustrating ANC employing a loop command signal and a forward disturbance measure
- FIG. 6 is a block diagram illustrating ANC employing two adaptive filters that remove an unmeasurable disturbance to, or noise generated in, a forward path of the loop to improve the output response of the loop;
- FIG. 7 is a block diagram illustrating ANC employing two adaptive filters that remove an unmeasurable disturbance to, or noise generated in, a feedback path of the loop to improve the output response of the loop;
- FIG. 8 is a block diagram illustrating an adaptive filter in parallel with a loop dynamic and functioning as an adaptive controller with a measurable forward path disturbance.
- FIGS. 2a and 3a illustrate the advantage gained by introducing Adaptive Noise Cancellation (ANC) into the closed loop control system shown in FIGS. 1a and 1b.
- ANC Adaptive Noise Cancellation
- the response of the loop to both forward path disturbances (FIG. 2a) and feedback path disturbances (FIG. 3a) is greatly improved.
- forward path disturbance rejection calls for action by the actuator (G a ) and plant (G p ) to physically cancel the disturbance, d.
- the cancellation occurs electronically and functions to lighten the actuator load, in that the actuator no longer must respond to the disturbance.
- forward path disturbance rejection is improved over that inherent in the control loop, with the improvement being limited by the excess capability of the actuator beyond that required for the control functions of the loop. It should be noted that forward path disturbances must be physically cancelled if the output of the loop (r) is a physical variable.
- FIGS. 3a and 3b feedback path noises, or disturbances, are cancelled at the signal level within the loop. Hence, they are limited by the dynamic range, the noise floor, and the resolution of the signal processing components in the loop, instead of by the actuator.
- the invention enables a disturbance and/or noise rejection bandwidth of an existing control loop to be extended without a corresponding increase in the bandwidth of the control loop and, hence, in the bandwidth of the control loop actuator.
- a system may be designed such that the disturbance rejection bandwidth of a control loop is increased while maintaining a low actuator bandwidth.
- the teaching of the invention thus enables the control, disturbance, and/or noise rejection characteristics of a control loop to be decoupled one from the other.
- FIG. 4 is a block diagram illustrating ANC for loop bandwidth extension that employs a loop command signal
- FIG. 5 is a block diagram illustrating ANC for loop bandwidth extension that employs a loop command signal and a disturbance measure.
- s represents the loop command signal
- r represents a loop response signal
- d is representative of a disturbance that typically includes a noise signal which may originate from within the control loop and/or from a source external to the control loop.
- the loop bandwidth extender of FIG. 4 employs a compensated measure (Block L) of the loop command signal as a reference input to an Adaptive Filter (AF).
- the loop error signal (e) as filtered by block G C , is combined with the loop command, filtered by Block N, and forms the error signal (e A ) to the AF. That is, the error signal is taken from the forward path.
- the AF acts to reduce the error signal e A by injecting an adaptive compensation signal just after the loop compensator G c .
- the adaptive compensation signal is summed with the output of block G C and is applied to the loop actuator (G A ) and, hence, to the loop plant (G p ) dynamics.
- This embodiment of the invention increases the loop bandwidth to the point (frequency) at which the compensation blocks L and N become either noise floor or amplitude limited, as shown below.
- G P G A G C H is not known exactly, nor is this term necessarily constant. This implies that the AF takes on the values needed to "match" the assumed form of the compensation block L to the actual dynamics of the system, i.e. in practice AF ⁇ 1.
- D is not addressed here, but is described in reference to FIG. 5 in regard to techniques that reduce the effects of D, a measurable disturbance, on the system.
- the blocks N and L represent compensation blocks for compensating the AF for closed loop operation in a manner described in the above referenced commonly assigned U.S. patent application Ser. No. 07/075,013, filed Jul. 17, 1987, entitled "Adaptive Noise Cancellation in a Closed Loop Control System" by J. M. Alcone.
- the loop bandwidth extender embodiment of FIG. 5 extends the capability of the FIG. 4 system to provide cancellation of the measurable disturbance D.
- the block M is used to represent the disturbance sensor and its compensation.
- the measurement of S, the loop command is made by the block L.
- the block N is used to sum S with the compensated loop error, G C e, to produce the error signal (e A ) for the AF.
- G compensated loop error
- the bandwidth of the system is increased to the point (frequency) at which the compensation Blocks L, M, and N become either noise floor or amplitude limited.
- FIG. 4 and FIG. 5 each provide a bandwidth extension of a closed loop control system.
- the embodiment of FIG. 4 is useful when D cannot be directly measured, in that the loop command S is employed to derive the reference and error signals for the AF.
- the embodiment of FIG. 5 is useful for the case where both D and S are measurable, and improves loop response with respect to D and also the overall operation of the control loop.
- FIG. 6 is a block diagram illustrating ANC employing two adaptive filters (AF1 and AF2).
- AF1 and AF2 remove noise generated in a forward path of the loop to reduce the noise floor of the loop.
- FIG. 7 is a block diagram illustrating ANC employing two adaptive filters that remove noise generated in a feedback path of the loop.
- the two adaptive filters are employed to lower the intrinsic noise floor of the loop without requiring a direct measure of the noise or disturbance.
- AF1 estimates the component of the loop feedback signal related to the loop command "S", thereby removing said component from the loop feedback signal and leaving only the effects of D.
- the error signal for AF1 is thus representative of the noise floor of the loop.
- the output of AF1 is differenced at node 10 (10') with the loop feedback signal (lf) output by Block H and the difference is provided as the reference for AF2.
- AF2 functions to remove the effect of D, or the noise floor, from the loop response R.
- the output of AF2 is provided to a node 12 (12') where the AF2 output is subtracted from S, along with the loop feedback signal (lf).
- Closed loop ANC compensation is provided by Block L for AF1 and by Block N for AF2. Additional compensation is provided by blocks P and Q.
- the source of the error feedback signal (e A2 ) to AF2 is selected to reflect whether the noise is being generated in the forward path (FIG. 6) or in the feedback path (FIG. 7) of the loop.
- the error feedback signal (e A2 ) to AF2 is also preferably modified as shown in FIGS. 6 and 7 to remove the effects of "S". This is accomplished by differencing at node 14 (14') the output of block Q with the output of Block N. This difference becomes the error signal (e A2 ) for AF2.
- FIG. 6 illustrates the forward path case while FIG. 7 illustrates the feedback path case.
- the disturbance may associated with a plant dynamic
- the noise may be associated with the feedback sensor H.
- AF1 1. That is, the adaptive filter need only make up for the mismatch between P and the actual dynamics of the system. For well behaved, stationary systems AF1 may not be required.
- the error signal for AF1 becomes a direct measure of the plant and sensor disturbances for use as AF2's reference input.
- AF1 if used, converges with AF2 turned off, and then AF1 is "frozen”. AF2 is then turned on and converged to provide the noise floor suppression.
- N 1+GH which provides simplicity for Q and an unattenuated and properly phased error signal (e A2 ) at all frequencies of interest.
- L 1+GH and provides the same function for AF1.
- a further aspect of the invention teaches an adaptive controller.
- FIG. 8 there is illustrated an embodiment having an adaptive filter in series with a control dynamic (L).
- L is a best known approximation to the inverse of the plant dynamic G p . That is, L is approximately 1/G p , and the AF operates to compensate for the residual.
- the filter N in accordance with an aspect of the invention, stabilizes the AF for operation in the closed loop configuration.
- FIG. 8 is similar in some respects to conventional adaptive inverse control with one important distinction: the disturbance measure D, introduced at node 16 downstream of L, AF, and the plant dynamic G P causes the AF to converge to a form such that it minimizes the effect of D on R, while simultaneously causing the overall system to perform as a unity gain control system with-respect to S, the loop command.
- the AF converges so as to minimize the difference between the filter L and the inverse of the plant dynamic, 1/G P .
- the compensating filter M filters out the sensor dynamic, and N is required to maintain stability in the closed loop configuration. That is, N is selected to increase the magnitude of the error signal input to the AF and to compensate the error signal's phase.
- applications of the teaching of the invention include, but are not limited to, base motion rejection for beam control systems, the stabilization of acquisition, pointing, and tracking systems, mechanical resonance control (at or near cross over), adaptive suspension control systems and systems having multiple inputs/outputs/disturbances and noises.
- the various blocks depicted in the drawings may be implemented with analog components, with instructions executed by a data processor such as a Digital Signal Processor (DSP), or may be implemented by a combination of these techniques.
- DSP Digital Signal Processor
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Abstract
Description
R=(G.sub.P G.sub.A (G.sub.C +LAF)S+D)/(1+GH)
e.sub.A =((i+GH) (G.sub.C -N)-HG.sub.A G.sub.P (G.sub.C +LAF)S-HD)/(1+GH).
R=(1/(i+GH)) [G.sub.A G.sub.P (G.sub.c +LAF)S+(1-G.sub.A G.sub.P MAF)D ]
e.sub.A =(1/(1+GH))[{(1+GH)(G.sub.c -N)-HG.sub.A G.sub.P (G.sub.c +LAF )}S-H(1-G.sub.A G.sub.P MAF)D].
R=1/(i+GH) [G(S-D.sub.P)+D.sub.s ], for AF2=0 (turned off),
e.sub.A1 =L/(i+GH [(GH-(i+GH)AF.sub.1 P)S+(HD.sub.P +D.sub.S)],
e.sub.A1 =L/(i+GH) [HD.sub.p +D.sub.S ]
e.sub.A1 =HD.sub.P +D.sub.S.
R=1/(1+GH)+[GS+((1+GH-GAF.sub.2 MH)D.sub.P -G(1+GH+AF.sub.2 M)D.sub.S)/(1+GH)],
e.sub.A2 =NH/(1+GH) [((NGH-Q(1+GH))/NH) S+((1+GH-GAF.sub.2 MH)D.sub.P)/(1+GH)].
Q=NGH/(1+GH),
M=(1+GH)/GH,
e.sub.A2 =N/(1+GH) [{(1-Q(1+GH))/N}S-(1/(1+GH)){AF.sub.2 M+(1+GH)}D.sub.S ].
Q=N/(1+GH) ,
M=1+GH,
R=((LAF+GC)G.sub.P S+(1-MLAFG.sub.P)D)/(1+G.sub.C G.sub.P) and e.sub.A =N[(1+G.sub.C G.sub.P -(LAF+G.sub.C)G.sub.P)S-(1-MLAFG.sub.P)D]/(1+G.sub.C G.sub.P) .
L=1/Gp, M=1 and AF=1.
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| US07/951,501 US5396414A (en) | 1992-09-25 | 1992-09-25 | Adaptive noise cancellation |
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Cited By (18)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US5587636A (en) * | 1995-02-24 | 1996-12-24 | Kulicke And Soffa Investments, Inc. | Observer-compensator for an electric motor system |
| US5621656A (en) * | 1992-04-15 | 1997-04-15 | Noise Cancellation Technologies, Inc. | Adaptive resonator vibration control system |
| US5638267A (en) * | 1994-06-15 | 1997-06-10 | Convolve, Inc. | Method and apparatus for minimizing unwanted dynamics in a physical system |
| US5638305A (en) * | 1994-03-25 | 1997-06-10 | Honda Giken Kogyo Kabushiki Kaisha | Vibration/noise control system |
| US5687075A (en) * | 1992-10-21 | 1997-11-11 | Lotus Cars Limited | Adaptive control system |
| US5737433A (en) * | 1996-01-16 | 1998-04-07 | Gardner; William A. | Sound environment control apparatus |
| WO1998041907A1 (en) * | 1997-03-18 | 1998-09-24 | Mannesmann Rexroth Ag | Adaptation algorithm for a controller |
| US6031917A (en) * | 1997-06-06 | 2000-02-29 | Mcdonnell Douglas Corporation | Active noise control using blocked mode approach |
| US6810124B1 (en) | 1999-10-08 | 2004-10-26 | The Boeing Company | Adaptive resonance canceller apparatus |
| US20060241938A1 (en) * | 2005-04-20 | 2006-10-26 | Hetherington Phillip A | System for improving speech intelligibility through high frequency compression |
| US20060247922A1 (en) * | 2005-04-20 | 2006-11-02 | Phillip Hetherington | System for improving speech quality and intelligibility |
| US20060293016A1 (en) * | 2005-06-28 | 2006-12-28 | Harman Becker Automotive Systems, Wavemakers, Inc. | Frequency extension of harmonic signals |
| GB2432431A (en) * | 2005-11-18 | 2007-05-23 | Agilent Technologies Inc | Error measurement in a closed loop control system |
| US20070150269A1 (en) * | 2005-12-23 | 2007-06-28 | Rajeev Nongpiur | Bandwidth extension of narrowband speech |
| US20070174050A1 (en) * | 2005-04-20 | 2007-07-26 | Xueman Li | High frequency compression integration |
| US20080208572A1 (en) * | 2007-02-23 | 2008-08-28 | Rajeev Nongpiur | High-frequency bandwidth extension in the time domain |
| US10545513B2 (en) * | 2015-08-12 | 2020-01-28 | Norgren Limited | Cascaded adaptive filters for attenuating noise in a feedback path of a flow controller |
| CN115079575A (en) * | 2022-07-19 | 2022-09-20 | 北京理工大学 | Permanent magnet synchronous motor simulator based on finite control set model predictive control |
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| Adaptive Noise Cancelling: Principles and Applications B. Widrow et al., Proceedings of the IEEE, vol. 63, No. 12, Dec. 1975. * |
| Transform Domain LMS Algorithm S. Shankar Narayan et al., IEEE Transactions on Acoustics Speech and Signal Processing, vol. ASSP 31, No. 3, Jun. 1983. * |
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